Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule

Véronique Bernard; Norbert Kaiser; Ulf G. Meissner

doi:10.1103/PhysRevD.48.3062

Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule

Véronique Bernard, Norbert Kaiser, Ulf G. Meissner

School Office of the TUM School of Natural Sciences

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39 Scopus citations

Abstract

We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher-order contributions arising from Δ(1232) intermediate states and relativistic corrections. We also discuss the limitations of our approach.

Original language	English
Pages (from-to)	3062-3069
Number of pages	8
Journal	Physical Review D
Volume	48
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.48.3062
State	Published - 1993

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abstract = "We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher-order contributions arising from Δ(1232) intermediate states and relativistic corrections. We also discuss the limitations of our approach.",

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AB - We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher-order contributions arising from Δ(1232) intermediate states and relativistic corrections. We also discuss the limitations of our approach.

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Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule

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